Enlightenment of image-number thinking: patent method to build a solid mathematical foundation

Speaking of mathematics, the first reaction of many parents is "terrible" and "unable to teach", and the first reaction of children is "boring" and "unable to learn".

Why do parents and children react so consistently?

That's because most people came into contact with mathematics in this way during the Enlightenment.

Many parents fall into a mathematical misunderstanding, thinking that mathematics is counting and calculating. In fact, counting and calculation are only the most basic mathematical knowledge. The other side of mathematics is extensive, interesting, fun and practical, which many parents who grew up with traditional mathematics education have never seen. They naturally don't know how to stimulate their children's enthusiasm for learning mathematics!

This is also the reason why many children are "on the verge of an enemy" and "avoiding it" in mathematics. Children who have studied the enlightenment course of image-number thinking have a completely different reaction. They don't find math "difficult" and "boring", but enjoy it!

What is magical about the enlightenment course of image-number thinking, which makes children enjoy mathematics?

The origin of "image number"

Before answering the above questions, explain the origin of the name "elephant number".

"Image" originally refers to the image of everything.

The "image" of "image number" has two meanings: one is symbolic image, that is, artificial image (abstract number); The second is the image of things, that is, the image of nature (physical objects).

"Number" is mathematics.

The premise of learning mathematics well is to understand mathematics. "Image number" aims to solve the problem that mathematics is abstract and difficult for children to understand and learn. Through the patented teaching aid-mathematical cognitive operation card equipped in the textbook, children can solve the transition from physical objects to abstract numbers, make the "logic" of logarithm clear and easy to understand, and make it easier for children to learn mathematics in the future.

Patent Teaching Aids "Visualize" Abstract Mathematics

As we all know, mathematics is a highly abstract subject, and its abstraction mainly refers to the abstraction of thinking movement. For example, the process of removing apples from the feeling of three apples and turning them into integer 3 is the simplest abstract example.

It is quite difficult for children who have just started counting to suddenly learn, get familiar with and master such an abstract mathematics subject. If parents do not consider their children's actual cognitive level and impose their own ideas on their children, the result can be imagined.

The significance of the image number is to build a bridge from the ivory tower to real life. A scientific research team composed of more than 300 well-known experts and scholars in psychology and education at home and abroad has jointly developed the curriculum system of mathematical thinking and the teaching patent-3-12-year-old children's mathematics CD-ROM, which is dedicated to making abstract mathematics "visible", "tangible" and "clear".

1. Clear the relationship: understand the relationship between numbers.

If you ask how much is two plus three, many children will answer five without thinking. But when asked why two plus three equals five, the children were speechless. Why? This is because children only learn by rote when calculating, and have no real understanding.

So why does two plus three make five?

At this time, the patented teaching aid-video disc has played an important role. A 360-degree disc is divided into ten equal parts, and the first part is a 36-degree sector card. We define it as image number one, which corresponds to the natural number "1". When two image numbers are combined, it is the image number two, which corresponds to the natural number "2", and so on. A small fan-shaped card can help children intuitively understand the relationship between numbers and solve the problem that Arabic numerals can't bring intuitive experience to children.

2. Make it clear: talk about the logical thinking process.

Go back to the previous question. Why two plus three equals five? Because elephant number two has two ones in its belly, and elephant number three has three ones in its belly, plus-that is, two cards are "combined" together, it is concluded that there are as many ones and five ones as there are numbers behind the equal sign, so it can be expressed by five.

The whole process is like playing a game. Addition is adding up. Two elephant numbers are put together to form an elephant number. What is the answer? Subtraction is separation. If you subtract a few, you hide a few, and the remaining one looks like a few, and the answer is a few.

If you don't understand the logical thinking process of the formula that two plus three equals several and just let the child recite it mechanically, then he won't make a similar formula in the future. It can be said that children who learn image numbers may not be able to work out many problems in a short time, but they can tell the logical thinking process every time they work out a problem. This is the difference between the number of images and other math classes.

3. Solid study: Establish a solid mathematical foundation.

The process of children's growth is gradual, so is learning mathematics. Image number is based on children's cognitive development level, and each stage has its own learning focus-small class children learn mathematics, middle class children learn truth, and large class children learn arithmetic. They are like foundations, step by step. Once you learn it well, most of the contents of primary school mathematics can be easily understood. So you can't hurry to lay the foundation of mathematics, you can't learn faster than you do, and laying a solid foundation is king.

Three directions of curriculum design

The course Image Number is based on the knowledge and skills stipulated in the Guide to Learning and Development for Children Aged 3-6, guided by Piaget's theory of thinking generation and development and Harvard University's theory of multiple intelligences, and based on the training mode of image number deep thinking. Through image number, children can not only acquire the basic knowledge and skills required by the state, but also promote the sound development of children's brains and brain functions to the maximum extent, so that children can acquire the cultivation of high-end mathematical thinking ability from an early age.

1. Cultivate a sense of numbers

What is a sense of number? In the book Mathematics Curriculum Standards, it is pointed out that number sense mainly refers to the perception of logarithm and quantity, the relationship between quantity and quantity, and the estimation of operation results. Establishing a sense of numbers is helpful for children to understand the meaning of numbers in real life and understand or express the quantitative relationship in specific situations.

What is a lack of sense of numbers? For example, these ironic descriptions, a key 5 meters long, a washing machine 1 cm high and a pencil 15 meters long. ...

How does the number of images cultivate children's sense of number?

Through the "four-in-one training of number sense"-number recognition, number correspondence, size comparison, number division, addition and subtraction, children can understand the corresponding relationship between numbers and things and the composition of decimals and numbers, which is the basis of number sense and the most important basic concept of primary school mathematics.

2. Train logical thinking

Logical thinking, also known as abstract thinking, is an advanced form of thinking. Its characteristic is that abstract concepts, judgments and reasoning are the basic forms of thinking, and analysis, synthesis, comparison, abstraction, generalization and concretization are the basic processes of thinking, thus revealing the essential characteristics and regular relations of things.

Logical thinking is reflected in many aspects of daily life, such as whether speaking is organized, reasoning ability, finding the connection between things ... Mathematics itself is based on logical thinking, so it is beneficial for people who are good at mathematics to think logically.

3. Ability to understand space geometry

Number and shape are two major thinking systems in mathematics. Without form, number loses its intuitive meaning, while without number, form is difficult to be nuanced and systematic. Both need synchronous learning.

Einstein once said: What really helps him to think is not oral or written language, but visual images or spatial symbols. The importance of spatial thinking ability is self-evident.

The number of images leads children to know the orientation, plane three-dimensional (up, down, left, right, front, back, inside and outside) and graphic splicing. Let children master the characteristics of different graphics, cultivate the concept of space and improve the imagination of space. Cultivating good spatial thinking ability in early childhood can lay a good foundation for junior high school to learn solid geometry.

Choice of Mathematics Enlightenment in Thousands of Kindergartens

Nowadays, elephant number has entered thousands of households from thousands of kindergartens, benefiting thousands of children. The effect of this course has been tested by thousands of children.

1. Mathematical reasoning: more comprehensive, detailed and profound than any enlightenment method; In the process of teaching, we don't use abacus or fingers.

2. On learning efficiency: mastering knowledge and skills faster and more accurately than any other method; Expand thinking and reasoning ability, not just computing ability.

3. Look at math scores: more efficient, comprehensive and systematic than any teaching method. Really realize the seamless connection between children's mathematics and primary school mathematics.

Elephant number, build a solid mathematical foundation for children with patented methods!